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Finding the Fourth Proportional to 476,814.30, 657,843.24 and 270,054.48

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Solution

The fourth proportional to 476,814.30, 657,843.24 and 270,054.48 is: 372,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,814.30 : 657,843.24 = 270,054.48 : x
  2. Step 2: Convert to fraction form
    476,814.30/657,843.24 = 270,054.48/x
  3. Step 3: Cross multiply
    476,814.30x = 657,843.24 × 270,054.48
  4. Step 4: Simplify right side
    476,814.30x = 177,653,514,099.72
  5. Step 5: Solve for x
    x = 177,653,514,099.72/476,814.30
  6. Step 6: Final answer
    x = 372,584.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.